Local Dynamics of Non-Invertible Maps near Normal Surface Singularities
| Local Dynamics of Non-Invertible Maps near Normal Surface Singularities |
| Autore | Gignac William |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2021 |
| Descrizione fisica | 1 online resource (118 pages) |
| Disciplina | 514/.746 |
| Altri autori (Persone) | RuggieroMatteo |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Singularities (Mathematics)
Holomorphic mappings Germs (Mathematics) Holomorphic functions Several complex variables and analytic spaces -- Singularities -- Local singularities Several complex variables and analytic spaces -- Holomorphic mappings and correspondences -- Iteration problems Commutative algebra -- General commutative ring theory -- Valuations and their generalizations Dynamical systems and ergodic theory -- Arithmetic and non-Archimedean dynamical systems -- Dynamical systems on Berkovich spaces Several complex variables and analytic spaces -- Singularities -- Modifications; resolution of singularities |
| ISBN |
9781470467531
1470467534 |
| Classificazione | 32S0532H5013A1837P5032S45 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Normal surface singularities, resolutions, and intersection theory -- Normal surface singularities and their valuation spaces -- Log discrepancy, essential skeleta, and special singularities -- Dynamics on valuation spaces -- Dynamics of non-finite germs -- Dynamics of non-invertible finite germs -- Algebraic stability -- Attraction rates -- Examples and remarks. |
| Record Nr. | UNINA-9910972376703321 |
Gignac William
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| Providence : , : American Mathematical Society, , 2021 | ||
| Lo trovi qui: Univ. Federico II | ||
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Real and complex singularities : XIII International Workshop on Real and Complex Singularities, July 27-August 8, 2014, Universidade de Sao Paulo, Sao Carlos, SP, Brazil / / Ana Claudia Nabarro [and three others], editors
| Real and complex singularities : XIII International Workshop on Real and Complex Singularities, July 27-August 8, 2014, Universidade de Sao Paulo, Sao Carlos, SP, Brazil / / Ana Claudia Nabarro [and three others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2016 |
| Descrizione fisica | 1 online resource (370 pages) : illustrations |
| Disciplina | 514/.746 |
| Collana | Contemporary Mathematics |
| Soggetto topico | Singularities (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-3558-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480781803321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2016 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Real and complex singularities : XIII International Workshop on Real and Complex Singularities, July 27-August 8, 2014, Universidade de Sao Paulo, Sao Carlos, SP, Brazil / / Ana Claudia Nabarro [and three others], editors
| Real and complex singularities : XIII International Workshop on Real and Complex Singularities, July 27-August 8, 2014, Universidade de Sao Paulo, Sao Carlos, SP, Brazil / / Ana Claudia Nabarro [and three others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2016 |
| Descrizione fisica | 1 online resource (370 pages) : illustrations |
| Disciplina | 514/.746 |
| Collana | Contemporary Mathematics |
| Soggetto topico | Singularities (Mathematics) |
| ISBN | 1-4704-3558-6 |
| Classificazione | 58Kxx32Sxx53Axx57Rxx14Pxx37Dxx |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910794870203321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2016 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Real and complex singularities : XIII International Workshop on Real and Complex Singularities, July 27-August 8, 2014, Universidade de Sao Paulo, Sao Carlos, SP, Brazil / / Ana Claudia Nabarro [and three others], editors
| Real and complex singularities : XIII International Workshop on Real and Complex Singularities, July 27-August 8, 2014, Universidade de Sao Paulo, Sao Carlos, SP, Brazil / / Ana Claudia Nabarro [and three others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2016 |
| Descrizione fisica | 1 online resource (370 pages) : illustrations |
| Disciplina | 514/.746 |
| Collana | Contemporary Mathematics |
| Soggetto topico | Singularities (Mathematics) |
| ISBN | 1-4704-3558-6 |
| Classificazione | 58Kxx32Sxx53Axx57Rxx14Pxx37Dxx |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910812994903321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2016 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Real and complex singularities : XI International Workshop on Real and Complex Singularities, July 26-30, 2010, Universidade de São Paulo, São Carlos, SP Brazil / / Victor Goryunov, Kevin Houston, Roberta Wik-Atique, editors
| Real and complex singularities : XI International Workshop on Real and Complex Singularities, July 26-30, 2010, Universidade de São Paulo, São Carlos, SP Brazil / / Victor Goryunov, Kevin Houston, Roberta Wik-Atique, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2012] |
| Descrizione fisica | 1 online resource (218 p.) |
| Disciplina | 514/.746 |
| Collana | Contemporary mathematics |
| Soggetto topico | Singularities (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-8780-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Preface""; ""David Mond""; ""Milnor Fibrations and the Concept of -regularity for Analytic Map Germs""; ""Introduction""; ""1. An example: weighted homogeneous singularities""; ""2. On the geometry in Milnorâ€?s proof of the fibration theorem""; ""3. -regularity for real analytic map-germs""; ""References""; ""Bi-Lipschitz -triviality and Newton polyhedra, =â??, , , â??_{ }, _{ }, _{ }""; ""1. Introduction""; ""2. Bi-Lipschitz -triviality, =â??, or ""; ""3. Examples""; ""4. Bi-Lipschitz _{ }-triviality, =â??, or ""; ""5. Tables of estimates""
""References""""Symplectic _{ } Singularities""; ""1. Introduction""; ""2. The method of algebraic restrictions""; ""3. Discrete symplectic invariants.""; ""4. Symplectic _{ }-singularities""; ""References""; ""Topology of the real Milnor fiber for isolated singularities""; ""1. Introduction""; ""2. Tools from Morse Theory""; ""3. Euler Characteristic for Real Mappings Fibers""; ""4. Topological-Geometrical Description - Application to Low Dimensions""; ""References""; ""Compact 3-manifolds supporting some â??²-actions""; ""1. Introduction""; ""2. Preliminares"" ""3. Semi-global orbit structure in a neighborhood of a circle orbit""""4. Proof of main Theorem""; ""References""; ""Timelike canal hypersurfaces of spacelike submanifolds in a de Sitter space""; ""1. Introduction""; ""2. Timelike hypersurfaces in a de Sitter space""; ""3. Spacelike submanifolds in the de Sitter space""; ""4. Timelike canal hypersurfaces""; ""5. De Sitter -maps as wavefronts""; ""6. Contact with hyperbolic hyperquadrics in the de Sitter space""; ""7. Generic properties of spacelike submanifolds""; ""References""; ""Residues in K-theory""; ""1. Introduction"" ""2. Globally defined stable classes of bundles defined only off Σ""""3. Sequences of globally defined bundles, exact off Σ""; ""4. Methods in differential Geometry""; ""References""; ""Multicusps""; ""1. Introduction""; ""2. Proof of Theorem 2""; ""References""; ""Small growth vectors of the compactifications of the contact systems on ^{ }(1,1)""; ""1. Goursat distributions and their small growth vectors""; ""2. Main theorems""; ""3. Proof of Theorem 2""; ""4. Proof of Theorem 3""; ""References""; ""Vassiliev type invariants for generic mappings, revisited""; ""Introduction"" ""1. Mapping space and Discriminant""""2. Vassiliev complex""; ""3. Finite type invariants for generic maps""; ""4. Characteristic classes for fiber bundles""; ""5. Contact equivalence for mappings""; ""References""; ""Sections of Analytic Variety""; ""1. Introduction""; ""2. Equivalence of Sections""; ""3. Finite Determinacy""; ""4. Section of the Singularities _{ }""; ""References""; ""The Artin-Greenberg function of a plane curve singularity""; ""1. Introduction""; ""2. Characteristic sequences and semigroup of a reducible polynomial""; ""The tree of contacts of Abhyankar-Assi"" ""3. The Artin-Greenberg function"" |
| Record Nr. | UNINA-9910480157803321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2012] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Real and complex singularities : XI International Workshop on Real and Complex Singularities, July 26-30, 2010, Universidade de São Paulo, São Carlos, SP Brazil / / Victor Goryunov, Kevin Houston, Roberta Wik-Atique, editors
| Real and complex singularities : XI International Workshop on Real and Complex Singularities, July 26-30, 2010, Universidade de São Paulo, São Carlos, SP Brazil / / Victor Goryunov, Kevin Houston, Roberta Wik-Atique, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2012] |
| Descrizione fisica | 1 online resource (218 p.) |
| Disciplina | 514/.746 |
| Collana | Contemporary mathematics |
| Soggetto topico | Singularities (Mathematics) |
| ISBN | 0-8218-8780-7 |
| Classificazione | 58Kxx57Rxx57Qxx32Sxx14Pxx37Cxx |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- David Mond -- Milnor Fibrations and the Concept of -regularity for Analytic Map Germs -- Introduction -- 1. An example: weighted homogeneous singularities -- 2. On the geometry in Milnor's proof of the fibration theorem -- 3. -regularity for real analytic map-germs -- References -- Bi-Lipschitz -triviality and Newton polyhedra, -- 1. Introduction -- 2. Bi-Lipschitz -triviality ...-- 3. Examples -- 4. Bi-Lipschitz _{ }-triviality,... -- 5. Tables of estimates -- References -- Symplectic _{ } Singularities -- 1. Introduction -- 2. The method of algebraic restrictions -- 3. Discrete symplectic invariants. -- 4. Symplectic _{ }-singularities -- References -- Topology of the real Milnor fiber for isolated singularities -- 1. Introduction -- 2. Tools from Morse Theory -- 3. Euler Characteristic for Real Mappings Fibers -- 4. Topological-Geometrical Description - Application to Low Dimensions -- References -- Compact 3-manifolds supporting some A2-actions -- 1. Introduction -- 2. Preliminares -- 3. Semi-global orbit structure in a neighborhood of a circle orbit -- 4. Proof of main Theorem -- References -- Timelike canal hypersurfaces of spacelike submanifolds in a de Sitter space -- 1. Introduction -- 2. Timelike hypersurfaces in a de Sitter space -- 3. Spacelike submanifolds in the de Sitter space -- 4. Timelike canal hypersurfaces -- 5. De Sitter -maps as wavefronts -- 6. Contact with hyperbolic hyperquadrics in the de Sitter space -- 7. Generic properties of spacelike submanifolds -- References -- Residues in K-theory -- 1. Introduction -- 2. Globally defined stable classes of bundles defined only off Σ -- 3. Sequences of globally defined bundles, exact off Σ -- 4. Methods in differential Geometry -- References -- Multicusps -- 1. Introduction -- 2. Proof of Theorem 2 -- References -- Small growth vectors of the compactifications of the contact systems on ^{ }(1,1) -- 1. Goursat distributions and their small growth vectors -- 2. Main theorems -- 3. Proof of Theorem 2 -- 4. Proof of Theorem 3 -- References -- Vassiliev type invariants for generic mappings, revisited -- Introduction -- 1. Mapping space and Discriminant -- 2. Vassiliev complex -- 3. Finite type invariants for generic maps -- 4. Characteristic classes for fiber bundles -- 5. Contact equivalence for mappings -- References -- Sections of Analytic Variety -- 1. Introduction -- 2. Equivalence of Sections -- 3. Finite Determinacy -- 4. Section of the Singularities _{ } -- References -- The Artin-Greenberg function of a plane curve singularity -- 1. Introduction -- 2. Characteristic sequences and semigroup of a reducible polynomial -- The tree of contacts of Abhyankar-Assi -- 3. The Artin-Greenberg function. |
| Record Nr. | UNINA-9910788636803321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2012] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Real and complex singularities : XI International Workshop on Real and Complex Singularities, July 26-30, 2010, Universidade de São Paulo, São Carlos, SP Brazil / / Victor Goryunov, Kevin Houston, Roberta Wik-Atique, editors
| Real and complex singularities : XI International Workshop on Real and Complex Singularities, July 26-30, 2010, Universidade de São Paulo, São Carlos, SP Brazil / / Victor Goryunov, Kevin Houston, Roberta Wik-Atique, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2012] |
| Descrizione fisica | 1 online resource (218 p.) |
| Disciplina | 514/.746 |
| Collana | Contemporary mathematics |
| Soggetto topico | Singularities (Mathematics) |
| ISBN | 0-8218-8780-7 |
| Classificazione | 58Kxx57Rxx57Qxx32Sxx14Pxx37Cxx |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- David Mond -- Milnor Fibrations and the Concept of -regularity for Analytic Map Germs -- Introduction -- 1. An example: weighted homogeneous singularities -- 2. On the geometry in Milnor's proof of the fibration theorem -- 3. -regularity for real analytic map-germs -- References -- Bi-Lipschitz -triviality and Newton polyhedra, -- 1. Introduction -- 2. Bi-Lipschitz -triviality ...-- 3. Examples -- 4. Bi-Lipschitz _{ }-triviality,... -- 5. Tables of estimates -- References -- Symplectic _{ } Singularities -- 1. Introduction -- 2. The method of algebraic restrictions -- 3. Discrete symplectic invariants. -- 4. Symplectic _{ }-singularities -- References -- Topology of the real Milnor fiber for isolated singularities -- 1. Introduction -- 2. Tools from Morse Theory -- 3. Euler Characteristic for Real Mappings Fibers -- 4. Topological-Geometrical Description - Application to Low Dimensions -- References -- Compact 3-manifolds supporting some A2-actions -- 1. Introduction -- 2. Preliminares -- 3. Semi-global orbit structure in a neighborhood of a circle orbit -- 4. Proof of main Theorem -- References -- Timelike canal hypersurfaces of spacelike submanifolds in a de Sitter space -- 1. Introduction -- 2. Timelike hypersurfaces in a de Sitter space -- 3. Spacelike submanifolds in the de Sitter space -- 4. Timelike canal hypersurfaces -- 5. De Sitter -maps as wavefronts -- 6. Contact with hyperbolic hyperquadrics in the de Sitter space -- 7. Generic properties of spacelike submanifolds -- References -- Residues in K-theory -- 1. Introduction -- 2. Globally defined stable classes of bundles defined only off Σ -- 3. Sequences of globally defined bundles, exact off Σ -- 4. Methods in differential Geometry -- References -- Multicusps -- 1. Introduction -- 2. Proof of Theorem 2 -- References -- Small growth vectors of the compactifications of the contact systems on ^{ }(1,1) -- 1. Goursat distributions and their small growth vectors -- 2. Main theorems -- 3. Proof of Theorem 2 -- 4. Proof of Theorem 3 -- References -- Vassiliev type invariants for generic mappings, revisited -- Introduction -- 1. Mapping space and Discriminant -- 2. Vassiliev complex -- 3. Finite type invariants for generic maps -- 4. Characteristic classes for fiber bundles -- 5. Contact equivalence for mappings -- References -- Sections of Analytic Variety -- 1. Introduction -- 2. Equivalence of Sections -- 3. Finite Determinacy -- 4. Section of the Singularities _{ } -- References -- The Artin-Greenberg function of a plane curve singularity -- 1. Introduction -- 2. Characteristic sequences and semigroup of a reducible polynomial -- The tree of contacts of Abhyankar-Assi -- 3. The Artin-Greenberg function. |
| Record Nr. | UNINA-9910815372903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2012] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A study of singularities on rational curves via Syzygies / / David Cox [and three others]
| A study of singularities on rational curves via Syzygies / / David Cox [and three others] |
| Autore | Cox David A |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (116 p.) |
| Disciplina | 514/.746 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Singularities (Mathematics)
Commutative algebra |
| ISBN | 0-8218-9513-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 0. Introduction, terminology, and preliminary results""; ""1. Introduction""; ""2. Terminology""; ""3. Preliminary results""; ""Chapter 1. The General Lemma""; ""Chapter 2. The Triple Lemma""; ""Chapter 3. The BiProj Lemma""; ""Chapter 4. Singularities of multiplicity equal to degree divided by two""; ""Chapter 5. The space of true triples of forms of degree : the base point free locus, the birational locus, and the generic Hilbert-Burch matrix""; ""Chapter 6. Decomposition of the space of true triples""
""Chapter 7. The Jacobian matrix and the ramification locus""""Chapter 8. The conductor and the branches of a rational plane curve""; ""Chapter 9. Rational plane quartics: a stratification and the correspondence between the Hilbert-Burch matrices and the configuration of singularities""; ""Bibliography"" |
| Record Nr. | UNINA-9910796029303321 |
Cox David A
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| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A study of singularities on rational curves via Syzygies / / David Cox [and three others]
| A study of singularities on rational curves via Syzygies / / David Cox [and three others] |
| Autore | Cox David A |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (116 p.) |
| Disciplina | 514/.746 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Singularities (Mathematics)
Commutative algebra |
| ISBN | 0-8218-9513-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 0. Introduction, terminology, and preliminary results""; ""1. Introduction""; ""2. Terminology""; ""3. Preliminary results""; ""Chapter 1. The General Lemma""; ""Chapter 2. The Triple Lemma""; ""Chapter 3. The BiProj Lemma""; ""Chapter 4. Singularities of multiplicity equal to degree divided by two""; ""Chapter 5. The space of true triples of forms of degree : the base point free locus, the birational locus, and the generic Hilbert-Burch matrix""; ""Chapter 6. Decomposition of the space of true triples""
""Chapter 7. The Jacobian matrix and the ramification locus""""Chapter 8. The conductor and the branches of a rational plane curve""; ""Chapter 9. Rational plane quartics: a stratification and the correspondence between the Hilbert-Burch matrices and the configuration of singularities""; ""Bibliography"" |
| Record Nr. | UNINA-9910819069403321 |
Cox David A
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A study of singularities on rational curves via Syzygies / / David Cox [and three others]
| A study of singularities on rational curves via Syzygies / / David Cox [and three others] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (116 p.) |
| Disciplina | 514/.746 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Singularities (Mathematics)
Commutative algebra |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9513-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 0. Introduction, terminology, and preliminary results""; ""1. Introduction""; ""2. Terminology""; ""3. Preliminary results""; ""Chapter 1. The General Lemma""; ""Chapter 2. The Triple Lemma""; ""Chapter 3. The BiProj Lemma""; ""Chapter 4. Singularities of multiplicity equal to degree divided by two""; ""Chapter 5. The space of true triples of forms of degree : the base point free locus, the birational locus, and the generic Hilbert-Burch matrix""; ""Chapter 6. Decomposition of the space of true triples""
""Chapter 7. The Jacobian matrix and the ramification locus""""Chapter 8. The conductor and the branches of a rational plane curve""; ""Chapter 9. Rational plane quartics: a stratification and the correspondence between the Hilbert-Burch matrices and the configuration of singularities""; ""Bibliography"" |
| Record Nr. | UNINA-9910480977903321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||